(i)[4]
Find the value of $t$ at the point of take-off.
(ii)[3]
Find the distance travelled by the aeroplane on the runway.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
An aeroplane travels in a straight horizontal line along the runway before lifting off. It is at rest at $O$ and has speed $90\,\text{m s}^{-1}$ at the moment it takes off. At time $t$ seconds after leaving $O$, while it is still on the runway, its acceleration is $(1.5 + 0.012t)\,\text{m s}^{-2}$.